Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Citation:

Serdica Mathematical Journal, Vol. 24, No 2, (1998), 163p-178p

Abstract:

Existence theorems of generalized variational inequalities and
generalized complementarity problems are obtained in topological vector
spaces for demi operators which are upper hemicontinuous along line segments
in a convex set X. Fixed point theorems are also given in Hilbert
spaces for set-valued operators T which are upper hemicontinuous along
line segments in X such that I − T are demi operators.

Description:

∗ The final version of this paper was sent to the editor when the author was supported by an ARC Small Grant of Dr. E. Tarafdar.